Question

Is the function that cuts through the points (2, 3) and (-1, 6) increasing or decreasing? a. increasing c. neither b. decreasing d. cannot be determined

Answer 1

Decreasing.

You might compute the equation for the line between those points. Start with the slope:
`m=(6-3)/(-1-2)=-\frac33=-1`. A negative slope means the function is decreasing.

Answer 2

b. decreasing

Explanation:

A function is said to be increasing if the value of y increases when x increases.

A function is said to be decreasing if the value of y decreases when x increases.

Here we have that:

When x = -1, y = 6

When x = 2, y = 3

So, as x increases, y decreses.

So the correct answer is:

b. decreasing